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Finding the Fourth Proportional to 893.01, 1,337.89 and 873.57

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Solution

The fourth proportional to 893.01, 1,337.89 and 873.57 is: 1,308.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.01 : 1,337.89 = 873.57 : x
  2. Step 2: Convert to fraction form
    893.01/1,337.89 = 873.57/x
  3. Step 3: Cross multiply
    893.01x = 1,337.89 × 873.57
  4. Step 4: Simplify right side
    893.01x = 1,168,740.57
  5. Step 5: Solve for x
    x = 1,168,740.57/893.01
  6. Step 6: Final answer
    x = 1,308.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.